Question

complete the equation.
$0.017 \times \\ 10^2 \\ = 1.7$
$960 \div \\ 10^3 \\ = 0.96$
$0.034 \times \\ 10^5 \\ = 3,400$
$5.2 \div \\ ? \\ = 0.052$
$10^2$
$10^3$
$10^4$
$10^5$

Explanation:

Step1: Analyze the decimal shift

We know that when dividing by a power of 10, the decimal point moves left. From 5.2 to 0.052, the decimal point moves 2 places left.

Step2: Relate to power of 10

Moving the decimal 2 places left is equivalent to dividing by \(10^{2}\) (since \(10^{2}=100\), and \(5.2\div100 = 0.052\)).

Answer:

\(10^{2}\)